SOLUTION: I have to determine whether the pair of lines are parallel, perpendicular, or neither. 2x-3y=-18 2x+3y=0

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Question 1102049: I have to determine whether the pair of lines are parallel, perpendicular, or neither.
2x-3y=-18
2x+3y=0
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
2x-3y=-18------------ slope, 2%2F3
2x+3y=0---------------slope, -2%2F3

What does that tell you?
Same slope, parallel
Product of slopes negative 1, perpendicular
Neither of these, intersect, and neither parallel nor perpendicular

Answer by ikleyn(52790) About Me  (Show Source):
You can put this solution on YOUR website!
.
1.  The first line  equation is 2x - 3y = -18.

    You can rewrite it in this way

    3y = 2x + 18,  or  y = %282%2F3%29%2Ax%2B6.

    It is slope-intercept form.  Having the equation in this form, you can conclude that the slope ot this line is 2%2F3.



2.  The second line  equation is 2x + 3y = 0. 

    You can rewrite it in this way

    3y = -2x ,  or  y = %28-2%2F3%29%2Ax%29.

    It is slope-intercept form.  Having the equation in this form, you can conclude that the slope ot this line is -2%2F3.


3.  The slopes are not equal.  Hence, the lines ARE NOT PARALLEL.

    The slopes are not "opposite signs reciprocals".  Hence, the lines ARE NOT PERPENDICULAR.


Answer.  The lines are NEITHER parallel NOR perpendicular.